Models of spin-orbit coupled oligomers

Abstract

We address the stability and dynamics of eigenmodes in linearly-shaped strings (dimers, trimers, tetramers, and pentamers) built of droplets of a binary Bose-Einstein condensate (BEC). The binary BEC is composed of atoms in two pseudo-spin states with attractive interactions, dressed by properly arranged laser fields, which induce the (pseudo-) spin-orbit (SO) coupling. We demonstrate that the SO-coupling terms help to create eigenmodes of particular types in the strings. Dimer, trimer, and pentamer eigenmodes of the linear system, which correspond to the zero eigenvalue (EV, alias chemical potential) extend into the nonlinear ones, keeping an exact analytical form, while tetramers do not admit such a continuation, because the respective spectrum does not contain a zero EV. Stability areas of these modes shrink with the increasing nonlinearity. Besides these modes, other types of nonlinear states, which are produced by the continuation of their linear counterparts corresponding to some nonzero EVs, are found in a numerical form (including ones for the tetramer system). They are stable in nearly entire existence regions in trimer and pentamer systems, but only in a very small area for the tetramers. Similar results are also obtained, but not displayed in detail, for hexa- and septamers.

arXiv commentChaos, in press

References in corpus (16)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Spinor Bose Condensates in Optical Traps
• Matter-wave interferometry in a double well on an atom chip
• Observation of the supersolid stripe phase in spin-orbit coupled Bose-Einstein condensates
• Collective Dipole Oscillation of a Spin-Orbit Coupled Bose-Einstein Condensate
• Dynamical Superfluid-Insulator Transition in a Chain of Weakly Coupled Bose-Einstein Condensates
• Realistic Rashba and Dressehaus spin-orbit coupling for neutral atoms
• Phase coherence of an atomic Mott insulator
• Bose-Einstein Condensates in Spin-Orbit Coupled Optical Lattices: Flat Bands and Superfluidity
• Bloch Oscillations in Optical and Zeeman Lattices in the Presence of Spin-Orbit Coupling
• Spin-orbit coupled Bose-Einstein condensate in a tilted optical lattice
• Phase diagram of two-species Bose-Einstein condensates in an optical lattice
• Composite localized modes in discretized spin-orbit-coupled Bose-Einstein condensates
• Intrinsically localized chaos in discrete nonlinear extended systems
• Spin-orbit coupled Bose-Einstein condensates in a double well